Seems I got confused between gxp and the new series for a sec there ^.^' Despite this, the Dual main character is definitely not related to Tenchi, it is set in yet another Tenchi 'spinoff' world sort....of....thing....
"The anime series Parallel Trouble Adventure Dual! is created by Kajishima-sensei and according to him does tie in to the OAV universe in some way. In GXP, there are tie-over references to Dual! with a mecha very much like Zinv being found on a distant planet. In the Dual! series, however, none of the characters are directly related to the characters in Tenchi Muyo! however (although the main character Kazuki Yotsuga coincidentally has the same name as King Azusa Jurai's father). Incidentally, and rather amusingly, the otherwise non-OAV continuity characters Kiyone, Rumiya, and Misao appear very briefly at the end of Dual! episode 14." - Taken from http://www.astronerdboy.com/tenchi/
Dual was quite a good series in itself, but seemed a bit Evangelion-esk in the mech bits if memory serves.
"The anime series Parallel Trouble Adventure Dual! is created by Kajishima-sensei and according to him does tie in to the OAV universe in some way. In GXP, there are tie-over references to Dual! with a mecha very much like Zinv being found on a distant planet. In the Dual! series, however, none of the characters are directly related to the characters in Tenchi Muyo! however (although the main character Kazuki Yotsuga coincidentally has the same name as King Azusa Jurai's father). Incidentally, and rather amusingly, the otherwise non-OAV continuity characters Kiyone, Rumiya, and Misao appear very briefly at the end of Dual! episode 14." - Taken from http://www.astronerdboy.com/tenchi/
Dual was quite a good series in itself, but seemed a bit Evangelion-esk in the mech bits if memory serves.